54795571829280 has 288 divisors, whose sum is σ = 190860191134704. Its totient is φ = 14310701703168.

The previous prime is 54795571829263. The next prime is 54795571829321. The reversal of 54795571829280 is 8292817559745.

54795571829280 is a `hidden beast` number, since 5 + 4 + 7 + 9 + 5 + 571 + 8 + 29 + 28 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 11215452706704 + 43580119122576 = 3348948^2 + 6601524^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 54795571829199 and 54795571829208.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41865742 + ... + 43154738.

Almost surely, 2^{54795571829280} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54795571829280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95430095567352).

54795571829280 is an abundant number, since it is smaller than the sum of its proper divisors (136064619305424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54795571829280 is a wasteful number, since it uses less digits than its factorization.

54795571829280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289628 (or 1289617 counting only the distinct ones).

The product of its (nonzero) digits is 508032000, while the sum is 72.

The spelling of 54795571829280 in words is "fifty-four trillion, seven hundred ninety-five billion, five hundred seventy-one million, eight hundred twenty-nine thousand, two hundred eighty".